Finding the Fourth Proportional to 11,413.29, 15,757.56 and 7,834.24

Step by Step Solution

1. Step 1: Write the proportion equation
   11,413.29 : 15,757.56 = 7,834.24 : x
2. Step 2: Convert to fraction form
   11,413.29/15,757.56 = 7,834.24/x
3. Step 3: Cross multiply
   11,413.29x = 15,757.56 × 7,834.24
4. Step 4: Simplify right side
   11,413.29x = 123,448,592.90
5. Step 5: Solve for x
   x = 123,448,592.90/11,413.29
6. Step 6: Final answer
   x = 10,816.21